Maybe not even optimal results, just approximations.

Regular pyramidal packing of hard spheres



Hi!



I am trying to find the best way to pack hard spheres in regular
pyramids.



I am only interested in the triangular, square, pentagonal, hexagonal,
octagonal and decagonal cases.



The triangular, square and hexagonal cases are easy corresponding to the
face centred cubic, body centred cubic and hexagonal close packing
crystal lattice packing schemes.



The pentagonal most likely corresponds to a stacking of similar to the
one generated by the pentagonal pyramidal number.



The octagonal and decagonal pyramidal packing would be more or less
similar to the hexagonal packing alternating centred octagons (decagons)
with squares (pentagons).



Is there any literature on the subject, maybe not even optimal results
just approximations? I have not had any luck searching.



Thank you very much.



Best regards

José Rui



.

Relevant Pages

  • Re: Maybe not even optimal results, just approximations.
    ... > I am trying to find the best way to pack hard spheres in regular ... body centred cubic and hexagonal close packing ... > The octagonal and decagonal pyramidal packing would be more or less ... > with squares (pentagons). ...
    (sci.physics.research)
  • Maybe not even optimal results, just approximations.
    ... Regular pyramidal packing of hard spheres ... I am trying to find the best way to pack hard spheres in regular ... The octagonal and decagonal pyramidal packing would be more or less ... with squares (pentagons). ...
    (sci.math)
  • Maybe not even optimal results, just approximations.
    ... Regular pyramidal packing of hard spheres ... I am trying to find the best way to pack hard spheres in regular ... The octagonal and decagonal pyramidal packing would be more or less ... with squares (pentagons). ...
    (sci.math.research)